perm.f.test: Permutation Test on the F-statistic
In jmuOutlier: Permutation Tests for Nonparametric Statistics

Description Usage Arguments Details Value Note Author(s) References See Also Examples

A permutation F-test is performed, and a one-way analysis of variance F-test is performed.

1	perm.f.test(response, treatment = NULL, num.sim = 20000)

`response`	Numeric vector of responses if treatment is not `NULL`. If `treatment` is `NULL`, then `response` must be an N by 2 data frame or matrix, such that the first column represents response and the second column represents treatment.
`treatment`	Vector of treatments, which need not be numerical. If `response` is an N by 2 data frame or matrix, then `treatment` should be set to `NULL`.
`num.sim`	The number of simulations performed. If `num.sim` is smaller than one, then the permutation test is not performed.

The one-way analysis of variance F-test is performed, regardless of the value of num.sim. The permutation F-test is performed whenever num.sim is at least 1. The p-value of the permutation F-test is estimated by randomly generating the permutations, and is hence not exact. The larger the value of num.sim the more precise the estimate of the p-value of the permutation F-test, but also the greater the computing time. Thus, the p-value of the permutation F-test is not based on asymptotic approximation.

The output consists of results from calling aov and from the permutation F-test.

The formulas computed within perm.f.test are based on the textbook by Higgins (2004).

Steven T. Garren, James Madison University, Harrisonburg, Virginia, USA

Higgins, J. J. (2004) Introduction to Modern Nonparametric Statistics.

aov and perm.test.

1	perm.f.test( c( 14,6,5,2,54,7,9,15,11,13,12 ), rep( c("I","II","III"), c(4,4,3) ) )

[[1]]
[1] "One-way ANOVA"

[[2]]
            Df  Sum Sq Mean Sq F value Pr(>F)
treatment    2  429.23  214.61  1.1109 0.3752
Residuals    8 1545.50  193.19               

[[3]]
[1] "The p-value from the permutation F-test based on"

[[4]]
[1] "20000 simulations is 0.4034"